Detecting phase synchronization by localized maps: Application to neural networks

Abstract

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether this set of points is localized. In particular, we show that this approach is fruitful to analyze the onset of phase synchronization in chaotic attractors whose phases are not well defined, as well as, in networks of non-identical spiking/bursting neurons connected by chemical synapses.

References in corpus (2)

• Synchronous Behavior of Two Coupled Electronic Neurons
• Non-transitive maps in phase synchronization

Cited by in corpus (6)

• Chimera states in uncoupled neurons induced by a multilayer structure
• Chimera-like states in modular neural networks
• Chimera states in two-dimensional networks of locally coupled oscillators
• Stable amplitude chimera states in a network of locally coupled Stuart-Landau oscillators
• Chimera-like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators
• Dynamical Complexity in the C.elegans Neural Network